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40727640 = 23351917863
BaseRepresentation
bin1001101101011…
…1010001011000
32211122011211010
42123113101120
540411241030
64012533520
71003115322
oct233272130
984564733
1040727640
1120a98308
12117812a0
13858cac5
1455a2612
1538976b0
hex26d7458

40727640 has 64 divisors (see below), whose sum is σ = 128620800. Its totient is φ = 10288512.

The previous prime is 40727633. The next prime is 40727647. The reversal of 40727640 is 4672704.

40727640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40727633) and next prime (40727647).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 40727598 and 40727607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40727647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6652 + ... + 11211.

It is an arithmetic number, because the mean of its divisors is an integer number (2009700).

Almost surely, 240727640 is an apocalyptic number.

40727640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40727640 is an abundant number, since it is smaller than the sum of its proper divisors (87893160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40727640 is a wasteful number, since it uses less digits than its factorization.

40727640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17896 (or 17892 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 40727640 is about 6381.8210567204. The cubic root of 40727640 is about 344.0564852261.

The spelling of 40727640 in words is "forty million, seven hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 17863 35726 53589 71452 89315 107178 142904 178630 214356 267945 339397 357260 428712 535890 678794 714520 1018191 1071780 1357588 1696985 2036382 2143560 2715176 3393970 4072764 5090955 6787940 8145528 10181910 13575880 20363820 40727640